1. In each experimental design described below, determine whether the samples ar

Question

1. In each experimental design described below, determine whether the samples are inde- pendent or dependent. Justify your answers a. A gambler thinks a die lands on low numbers too often. He rolls the die 200 times, and for comparison, rolls a fair die 250 times. b. To test the effect of sleep on athletic ability, 25 athletes run two miles the morning after getting eight hours of sleep. One week later, the same athletes run two miles after getting four hours of sleep. c. A potato chip manufacturer compares the number of chips per bag in two batches of chips. She randomly chooses 50 bags from Batch A and 50 bags from Batch B for her test.

Explanation / Answer

question 1

Here for the unfair die 250 rolls are done so that event is totally independent of event where 200 rolls are thrown of fair roll. Probability of any one event will not be affected by the other one.

Question 2.

Here also events are not independent as there are samen set of people who are given two different conditions or experimental events. So, we can say that these are dependent samples.

Question 3

Here manufacturing from Bag A and Bag B are different so these two are also independent samples as not same bags are used here. So independent samples are there

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